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Finding the Fourth Proportional to 12,318.86, 18,476.05 and 4,314.80

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Solution

The fourth proportional to 12,318.86, 18,476.05 and 4,314.80 is: 6,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.86 : 18,476.05 = 4,314.80 : x
  2. Step 2: Convert to fraction form
    12,318.86/18,476.05 = 4,314.80/x
  3. Step 3: Cross multiply
    12,318.86x = 18,476.05 × 4,314.80
  4. Step 4: Simplify right side
    12,318.86x = 79,720,449.75
  5. Step 5: Solve for x
    x = 79,720,449.75/12,318.86
  6. Step 6: Final answer
    x = 6,471.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.